Year: 2026
Type: preprint
Abstract: We complete the characterization of the $L^p$ boundedness of the commutators $[b, H_γ]$ of pointwise multiplication and the Hilbert transform along monomial curves in any dimension. This fully solve a key point left open by Bongers, Guo, Li and Wick, which was affirmatively answered recently only for dimension two. We achieve this by a novel but elementary argument, avoiding the complicated geometry structure in higher dimensions.
Source: arXiv (Cornell University)
Authors: Li, Kangwei, Zeng, Yunan
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213516856